Question

factorise 4x raise to the power 4 +7x raise to the power 2 minus 2

Answer 1

4x⁴+7x²-2
= 4x⁴+8x²-1x²-2
= 4x²(x²+2)-1(x²+2)
= (4x²-1)(x²+2)
= (2x-1)(2x+1)(x²+2)

Answer 2

$4 {x}^{4} + 7 {x}^{2} - 2 \\ \: 4 {x}^{4} \: + 8 {x}^{2} - {x}^{2} - 2 \\ 4 {x}^{2} ( {x}^{2} + 2) - 1( {x}^{2} + 2) \\ (4 {x}^{2} - 1)( {x}^{2} + 2) \\ (2x - 1)(2x + 1)( {x}^{2} + 1)$